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2212131321 = 323719733721
BaseRepresentation
bin1000001111011010…
…0111000111111001
312201011111220200200
42003312213013321
514012301200241
61003301352413
7105550543311
oct20366470771
95634456620
102212131321
11a35766004
12518a08709
132933bb35a
1416db18441
15ce3164b6
hex83da71f9

2212131321 has 24 divisors (see below), whose sum is σ = 3298416264. Its totient is φ = 1427569920.

The previous prime is 2212131319. The next prime is 2212131323. The reversal of 2212131321 is 1231312122.

2212131321 is a `hidden beast` number, since 2 + 212 + 131 + 321 = 666.

It is an interprime number because it is at equal distance from previous prime (2212131319) and next prime (2212131323).

It can be written as a sum of positive squares in 4 ways, for example, as 751362921 + 1460768400 = 27411^2 + 38220^2 .

It is not a de Polignac number, because 2212131321 - 21 = 2212131319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2212131294 and 2212131303.

It is not an unprimeable number, because it can be changed into a prime (2212131323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48741 + ... + 82461.

It is an arithmetic number, because the mean of its divisors is an integer number (137434011).

Almost surely, 22212131321 is an apocalyptic number.

It is an amenable number.

2212131321 is a deficient number, since it is larger than the sum of its proper divisors (1086284943).

2212131321 is a wasteful number, since it uses less digits than its factorization.

2212131321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33961 (or 33958 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2212131321 is about 47033.3001287386. The cubic root of 2212131321 is about 1302.9776559178.

Adding to 2212131321 its reverse (1231312122), we get a palindrome (3443443443).

The spelling of 2212131321 in words is "two billion, two hundred twelve million, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 37 111 197 333 591 1773 7289 21867 33721 65601 101163 303489 1247677 3743031 6643037 11229093 19929111 59787333 245792369 737377107 2212131321